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Finding the Third Proportional to 180,943 and 382,297

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Solution

The third proportional to 180,943 and 382,297 is: 807,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,943 : 382,297 = 382,297 : x
  2. Step 2: Convert to fraction form
    180,943/382,297 = 382,297/x
  3. Step 3: Cross multiply
    180,943x = 382,297 × 382,297
  4. Step 4: Simplify right side
    180,943x = 146,150,996,209
  5. Step 5: Solve for x
    x = 146,150,996,209/180,943
  6. Step 6: Final answer
    x = 807,718.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.